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Simplifying -8(1 + -3b) = 26 + 7b (1 * -8 + -3b * -8) = 26 + 7b (-8 + 24b) = 26 + 7b Solving -8 + 24b = 26 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -8 + 24b + -7b = 26 + 7b + -7b Combine like terms: 24b + -7b = 17b -8 + 17b = 26 + 7b + -7b Combine like terms: 7b + -7b = 0 -8 + 17b = 26 + 0 -8 + 17b = 26 Add '8' to each side of the equation. -8 + 8 + 17b = 26 + 8 Combine like terms: -8 + 8 = 0 0 + 17b = 26 + 8 17b = 26 + 8 Combine like terms: 26 + 8 = 34 17b = 34 Divide each side by '17'. b = 2 Simplifying b = 2
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